2(2n+3)=7(9n+4)+1

Solution for 2(2n+3)=7(9n+4)+1 equation:

Simplifying
2(2n + 3) = 7(9n + 4) + 1

Reorder the terms:
2(3 + 2n) = 7(9n + 4) + 1
(3 * 2 + 2n * 2) = 7(9n + 4) + 1
(6 + 4n) = 7(9n + 4) + 1

Reorder the terms:
6 + 4n = 7(4 + 9n) + 1
6 + 4n = (4 * 7 + 9n * 7) + 1
6 + 4n = (28 + 63n) + 1

Reorder the terms:
6 + 4n = 28 + 1 + 63n

Combine like terms: 28 + 1 = 29
6 + 4n = 29 + 63n

Solving
6 + 4n = 29 + 63n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-63n' to each side of the equation.
6 + 4n + -63n = 29 + 63n + -63n

Combine like terms: 4n + -63n = -59n
6 + -59n = 29 + 63n + -63n

Combine like terms: 63n + -63n = 0
6 + -59n = 29 + 0
6 + -59n = 29

Add '-6' to each side of the equation.
6 + -6 + -59n = 29 + -6

Combine like terms: 6 + -6 = 0
0 + -59n = 29 + -6
-59n = 29 + -6

Combine like terms: 29 + -6 = 23
-59n = 23

Divide each side by '-59'.
n = -0.3898305085

Simplifying
n = -0.3898305085